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Finding the Fourth Proportional to 9,746.64, 13,447.16 and 5,965.86

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Solution

The fourth proportional to 9,746.64, 13,447.16 and 5,965.86 is: 8,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.64 : 13,447.16 = 5,965.86 : x
  2. Step 2: Convert to fraction form
    9,746.64/13,447.16 = 5,965.86/x
  3. Step 3: Cross multiply
    9,746.64x = 13,447.16 × 5,965.86
  4. Step 4: Simplify right side
    9,746.64x = 80,223,873.96
  5. Step 5: Solve for x
    x = 80,223,873.96/9,746.64
  6. Step 6: Final answer
    x = 8,230.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.